# How do you factor 3s^3+6s^2+5s+10?

Jul 23, 2016

$\left(s + 2\right) \left(3 {s}^{2} + 5\right)$

#### Explanation:

There are 4 terms but there is no common factor in all the terms, Group them in pairs to create common factors.
Make sure there is a + sign between the pairs.

$\left(3 {s}^{3} + 6 {s}^{2}\right) + \left(5 s + 10\right)$

=$3 {s}^{2} \left(s + 2\right) + 5 \left(s + 2\right) \text{ common bracket}$

=$\left(s + 2\right) \left(3 {s}^{2} + 5\right)$